OG-II-03 — Z — Gauge Fields and Maxwell Continuum Limits on an Aperiodic D₆/H₃ - Carrier Prescribed sources and electrostatic continuum response

We construct classical gauge dynamics on a specified three-dimensional aperiodic carrier with E₈/D₆/H₃ provenance. Exact arithmetic fixes the transverse splitting, rhombic-triacontahedral window and axial Fibonacci clock. On the complete nonsingular carrier, an independent edge connection defines a diagonal Delaunay–Voronoi regulator D with exact gauge and incidence identities and positive field energy. A separately specified conforming regulator F uses consistent finite-element masses. For D, paired primal and dual integration maps satisfy exact Stokes identities. Comparing their reconstructions gives strong Maxwell evolution and generalized strong resolvent convergence without a derivative loss in the residual. Smooth data have O(h) spatial error; variable-step midpoint has O(h+δmax²) error under the stated regularity assumptions, and the constant-step explicit scheme has O(h+τ²) error under a strict CFL margin. Prescribed currents admit compatible convergence with exact integrated-current Gauss and work identities. A whole-space electrostatic argument proves convergence of fields and energies for smooth charges. For two separated radial packets of radius a, the mutual-energy error is bounded by C|Q₁Q₂|h/a²; resolved shrinking packets therefore recover Coulomb interaction. A single-vertex source has a separate h⁻¹ self-energy law. A longitudinal counterexample excludes full-energy-space operator-norm convergence under the stated observation maps. The results establish the continuum behavior of declared gauge actions and source families; their constitutive and charge normalizations remain independent model data.